The Cartesian equations of a line are Write the vector equation of the line.

Given : A line

To find : vector equation of a line

Formula used : If a line is given by = = = λ then vector equation of the line is given by = a + b + c + λ (l + m + n)

The given line is = =

Here a = 3 , b = -4 , c = 3 and l = -5 , m = 7 , n = 2

Substituting the above values,we get

= 3 - 4 + 3 + λ (-5 + 7 + 2)

The vector equation of a line is given by = =

= 3 - 4 + 3 + λ (-5 + 7 + 2)